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Finding the Fourth Proportional to 388,801, 536,545.38 and 209,953

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Solution

The fourth proportional to 388,801, 536,545.38 and 209,953 is: 289,735.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,801 : 536,545.38 = 209,953 : x
  2. Step 2: Convert to fraction form
    388,801/536,545.38 = 209,953/x
  3. Step 3: Cross multiply
    388,801x = 536,545.38 × 209,953
  4. Step 4: Simplify right side
    388,801x = 112,649,312,167.14
  5. Step 5: Solve for x
    x = 112,649,312,167.14/388,801
  6. Step 6: Final answer
    x = 289,735.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.